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Simplifying (-3 + 2i)(-6 + -8i) = 34 + 12i Multiply (-3 + 2i) * (-6 + -8i) (-3(-6 + -8i) + 2i * (-6 + -8i)) = 34 + 12i ((-6 * -3 + -8i * -3) + 2i * (-6 + -8i)) = 34 + 12i ((18 + 24i) + 2i * (-6 + -8i)) = 34 + 12i (18 + 24i + (-6 * 2i + -8i * 2i)) = 34 + 12i (18 + 24i + (-12i + -16i2)) = 34 + 12i Combine like terms: 24i + -12i = 12i (18 + 12i + -16i2) = 34 + 12i Add '-12i' to each side of the equation. 18 + 12i + -12i + -16i2 = 34 + 12i + -12i Combine like terms: 12i + -12i = 0 18 + 0 + -16i2 = 34 + 12i + -12i 18 + -16i2 = 34 + 12i + -12i Combine like terms: 12i + -12i = 0 18 + -16i2 = 34 + 0 18 + -16i2 = 34 Solving 18 + -16i2 = 34 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -16i2 = 34 + -18 Combine like terms: 18 + -18 = 0 0 + -16i2 = 34 + -18 -16i2 = 34 + -18 Combine like terms: 34 + -18 = 16 -16i2 = 16 Divide each side by '-16'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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